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Finding the Fourth Proportional to 148,159.52, 204,458.58 and 80,175

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Solution

The fourth proportional to 148,159.52, 204,458.58 and 80,175 is: 110,640.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,159.52 : 204,458.58 = 80,175 : x
  2. Step 2: Convert to fraction form
    148,159.52/204,458.58 = 80,175/x
  3. Step 3: Cross multiply
    148,159.52x = 204,458.58 × 80,175
  4. Step 4: Simplify right side
    148,159.52x = 16,392,466,651.50
  5. Step 5: Solve for x
    x = 16,392,466,651.50/148,159.52
  6. Step 6: Final answer
    x = 110,640.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.